λ
Harmonic Matrix

6,437,846

2 × 19 × 191 × 887
Deficient Even Composite

6,437,846 has digital root 2. The neighboring primes are 6437839 and 6437881; its proper-divisor sum differs from the starting integer by -2,645,932.

Prime Factor Structure

Factorization String 2 × 19 × 191 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,229,760
Proper Divisor Sum 3,791,914
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6437839 ← → #6437881

Radix Representation

Decimal 6437846
Binary 11000100011101111010110 (23 bits)
Octal 0o30435726
Hexadecimal 0x623BD6

Divisor Catalog (16)

1 2 19 38 191 382 887 1,774 3,629 7,258 16,853 33,706 169,417 338,834 3,218,923 6,437,846

Collatz Trajectory (227 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,437,846 3,218,923 9,656,770 4,828,385 14,485,156 7,242,578 3,621,289 10,863,868 5,431,934 2,715,967 8,147,902 4,073,951 12,221,854 6,110,927 18,332,782 9,166,391 27,499,174 13,749,587 41,248,762 20,624,381 61,873,144 30,936,572 15,468,286 7,734,143 23,202,430 11,601,215 34,803,646 17,401,823 52,205,470 26,102,735 78,308,206 39,154,103 117,462,310 58,731,155 176,193,466 88,096,733 264,290,200 132,145,100 66,072,550 33,036,275 99,108,826 49,554,413 148,663,240 74,331,620 37,165,810 18,582,905 55,748,716 27,874,358 13,937,179 41,811,538 20,905,769 62,717,308 31,358,654 15,679,327 47,037,982 23,518,991 70,556,974 35,278,487 105,835,462 52,917,731

More profiles

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